A) 120m, 75m
B) 110m, 85m
C) 100 m, 95 m
D) None of these
Correct Answer: A
Solution :
Let the length and breadth of the park be 8x m 5x m, respectively, \[\therefore \]Area of the park \[=(8x\times 5x){{m}^{2}}=40{{x}^{2}}{{m}^{2}}\] Length of park including the path\[=(8x+3)\,\,m\] Breadth of park including the path \[=(5x+3)\,\,m\] \[\therefore \]Area of the park including the path \[=(8x+3)(5x+3)\,\,{{m}^{2}}\] \[\therefore \]Area of the path \[=(8x+3)(5x+3)-40{{x}^{2}}=(39x+9)\,\,{{m}^{2}}\] \[\therefore \]\[39x+9=594\]\[\Rightarrow \]\[39x=585\]\[\Rightarrow \]\[x=15\] \[\therefore \] Length \[=(8\times 15)\,\,m=120\,\,m\] Breadth\[=(5\times 15)\,\,m=75\,\,m\]You need to login to perform this action.
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